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54351736645220 = 225727110607135059
BaseRepresentation
bin11000101101110101111111…
…11101001010011001100100
321010102222022222101212211022
430112322333331022121210
524110444324040121340
6311332502040230312
714306532462531140
oct1426727775123144
9233388288355738
1054351736645220
1116355495431293
12611989276b398
132443467b27141
14d5c8d0cc0220
15643c303603b5
hex316ebff4a664

54351736645220 has 96 divisors (see below), whose sum is σ = 130938824540160. Its totient is φ = 18564229918080.

The previous prime is 54351736645201. The next prime is 54351736645273. The reversal of 54351736645220 is 2254663715345.

It is a super-2 number, since 2×543517366452202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402362051 + ... + 402497109.

It is an arithmetic number, because the mean of its divisors is an integer number (1363946088960).

Almost surely, 254351736645220 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54351736645220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65469412270080).

54351736645220 is an abundant number, since it is smaller than the sum of its proper divisors (76587087894940).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54351736645220 is a wasteful number, since it uses less digits than its factorization.

54351736645220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145953 (or 145951 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 53.

The spelling of 54351736645220 in words is "fifty-four trillion, three hundred fifty-one billion, seven hundred thirty-six million, six hundred forty-five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 271 542 1084 1355 1897 2710 3794 5420 7588 9485 10607 18970 21214 37940 42428 53035 74249 106070 135059 148498 212140 270118 296996 371245 540236 675295 742490 945413 1350590 1484980 1890826 2701180 2874497 3781652 4727065 5748994 9454130 11497988 14372485 18908260 20121479 28744970 36600989 40242958 57489940 73201978 80485916 100607395 146403956 183004945 201214790 256206923 366009890 402429580 512413846 732019780 1024827692 1281034615 1432570813 2562069230 2865141626 5124138460 5730283252 7162854065 10027995691 14325708130 20055991382 28651416260 40111982764 50139978455 100279956910 200559913820 388226690323 776453380646 1552906761292 1941133451615 2717586832261 3882266903230 5435173664522 7764533806460 10870347329044 13587934161305 27175868322610 54351736645220